摘要翻译：
设(S，BS)是与给定光滑拟射影曲面V的紧致相关的对数对。在边界BS不可约的假设下，我们提出了一个算法，该算法在对数Mori理论的框架下，根据（log）Sarkisov程序的精神，将V的任何自同构分解为一个初等链环序列。新的值得注意的特点，我们的算法是所有的爆破和收缩所涉及的过程都发生在边界上。
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英文标题：
《Variations on Log Sarkisov Program for Surfaces》
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作者：
Adrien Dubouloz (IMB), St\'ephane Lamy (ICJ)
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最新提交年份：
2009
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分类信息：

一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
  Let (S, BS) be the log-pair associated with a compactification of a given smooth quasi-projective surface V . Under the assumption that the boundary BS is irreducible, we propose an algorithm, in the spirit of the (log) Sarkisov program, to factorize any automorphism of V into a sequence of elementary links in the framework of the logarithmic Mori theory. The new noteworthy feature of our algorithm is that all the blow-ups and contractions involved in the process occur on the boundary.
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PDF链接：
https://arxiv.org/pdf/0802.2441